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arxiv: 1212.4638 · v2 · pith:KHDKXFGDnew · submitted 2012-12-19 · 💻 cs.IT · cs.CR· math.IT

Polynomial functions of degree 20 which are APN infinitely often

classification 💻 cs.IT cs.CRmath.IT
keywords degreefunctionsaubryccz-equivalentconjectureextensionsfieldfunction
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We give all the polynomials functions of degree 20 which are APN over an infinity of field extensions and show they are all CCZ-equivalent to the function $x^5$, which is a new step in proving the conjecture of Aubry, McGuire and Rodier.

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